The sides of a triangle are in the ratio 5: 12: 13. what is the length of each side of the triangle if the perimeter of the triangke is 15 inches

Let x be the common ratio / or scale factor
the sides of the triangle are
5x, 12x and 13x
sum of the sides defines perimeter
that is
5x + 12x + 13x = 15
30x = 15
x = 15/30
x = 0.5
The sides of the triangle are 0.5(5) = 2.5
0.5(12)=6
0.5(13) = 6.5
2.5, 6, 6.5 all in inches

The answer that i got was 8/3